An exactly solvable anisotropic directed percolation model in three dimensions

Rajesh, R. ; Dhar, Deepak (1998) An exactly solvable anisotropic directed percolation model in three dimensions Physical Review Letters, 81 (8). pp. 1646-1649. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v81/i8/p1646_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.81.1646

Abstract

We solve exactly a special case of the anisotropic directed-bond percolation problem in three dimensions, in which the occupation probability is 1 along two spatial directions, by mapping it to a five-vertex model. We determine the asymptotic shape of the infinite cluster and hence the direction dependent critical probability. The exponents characterizing the fluctuations of the boundary of the wetted cluster in d dimensions are related to those of the (d-2)-dimensional KPZ equation.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:9341
Deposited On:02 Nov 2010 12:24
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